du JU, (U) the spring constant, (c) the frequency. (d) the maximum speed of the
ID: 1793445 • Letter: D
Question
du JU, (U) the spring constant, (c) the frequency. (d) the maximum speed of the block, U) laximum acceleration of the block, and (e) the total energy of the spring-block. Problem 8 A block attached to a spring, undergoes simple harmonic motion with a period of 1.5 s, and amplitude of 20 cm. The mechanical energy of the spring-block system is 2 J. What is the mass of the block? Problem 9 A simple pendulum has a period of 3 seconds on earth surface. What will be its period if it is taken on planet Mars?Explanation / Answer
ME = k A^2 /2
2 J = k (0.20^2) / 2
k = 100 N/m
and T = 2 pi sqrt( m / k )
m / k = (1.5 / 2pi)^2
m = 5.7 kg ............Ans
9. T = 2 pi sqrt[ L / g]
g_earth = 9.8 m/s^2
g_mars = 3.8 m/s^2
T /3 = sqrt(9.8 / 3.8)
T = 4.8 sec
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